39870720 has 108 divisors (see below), whose sum is σ = 137988396. Its totient is φ = 10629120.

The previous prime is 39870713. The next prime is 39870739. The reversal of 39870720 is 2707893.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 28901376 = 3312^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9790 + ... + 13250.

Almost surely, 2^39870720 is an apocalyptic number.

39870720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68994198).

39870720 is an abundant number, since it is smaller than the sum of its proper divisors (98117676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39870720 is a wasteful number, since it uses less digits than its factorization.

39870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 39870720 is about 6314.3265674179. The cubic root of 39870720 is about 341.6263488680.

The spelling of 39870720 in words is "thirty-nine million, eight hundred seventy thousand, seven hundred twenty".